The One-loop Open Superstring Massless Five-point Amplitude with the Non-Minimal Pure Spinor Formalism

Abstract

We compute the massless five-point amplitude of open superstrings using the non-minimal pure spinor formalism and obtain a simple kinematic factor in pure spinor superspace, which can be viewed as the natural extension of the kinematic factor of the massless four-point amplitude. It encodes bosonic and fermionic external states in supersymmetric form and reduces to existing bosonic amplitudes when expanded in components, therefore proving their equivalence. We also show how to compute the kinematic structures involving fermionic states.

38 pages, harvmac TeX, v2: fix typo in (4.2) and add reference

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Cited by in corpus (19)

• The closed-string 3-loop amplitude and S-duality
• The Structure of n-Point One-Loop Open Superstring Amplitudes
• String-inspired BCJ numerators for one-loop MHV amplitudes
• Simplifying the Tree-level Superstring Massless Five-point Amplitude
• Pure Spinor Vertex Operators in Siegel Gauge and Loop Amplitude Regularization
• The Overall Coefficient of the Two-loop Superstring Amplitude Using Pure Spinors
• Pure spinor superfields -- an overview
• Tree-level amplitudes from the pure spinor superstring
• Six Open String Disk Amplitude in Pure Spinor Superspace
• All-order differential equations for one-loop closed-string integrals and modular graph forms
• Towards the n-point one-loop superstring amplitude III: One-loop correlators and their double-copy structure
• Towards the n-point one-loop superstring amplitude I: Pure spinors and superfield kinematics
• One-loop Superstring Amplitude From Integrals on Pure Spinors Space
• The two-loop superstring five-point amplitude and S-duality
• Two-loop superstring five-point amplitudes III, construction via the RNS formulation: even spin structures
• Decoupling of unphysical states in the minimal pure spinor formalism I
• One-loop superstring six-point amplitudes and anomalies in pure spinor superspace
• On Projections to the Pure Spinor Space
• A New Proposal for the Picture Changing Operators in the Minimal Pure Spinor Formalism